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Popular >

integral from 1 to 6 of |2x-4|

Solution

\int_{1}^{6} ∣ 2 x - 4 ∣ d x

Solution

17

Solution steps

\int_{1}^{6} ∣ 2 x - 4 ∣ d x

Eliminate Absolutes

= \int_{1}^{2} - 2 x + 4 d x + \int_{2}^{6} 2 x - 4 d x

\int_{1}^{2} - 2 x + 4 d x = 1

\int_{2}^{6} 2 x - 4 d x = 16

= 1 + 16

Simplify

= 17

Popular Examples

integral from 1 to 4 of (1/(x^2))

\int_{1}^{4} (\frac{1}{x ^{2}}) d x

integral from 1 to e of (2-ln(x))/x

\int_{1}^{e} \frac{2 - ln ( x )}{x} d x

integral from 1 to infinity of arctan(x)

\int_{1}^{\infty} arctan (x) d x

integral from 1 to 2 of |x|

\int_{1}^{2} ∣ x ∣ d x

integral from 1 to 7 of (e^{7/x})/(x^2)

\int_{1}^{7} \frac{e ^{\frac{7}{x}}}{x ^{2}} d x

Frequently Asked Questions (FAQ)

What is the integral from 1 to 6 of |2x-4| ?
The integral from 1 to 6 of |2x-4| is 17